y^2-10y+56=0

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Solution for y^2-10y+56=0 equation:


Simplifying
y2 + -10y + 56 = 0

Reorder the terms:
56 + -10y + y2 = 0

Solving
56 + -10y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -10y + -56 + y2 = 0 + -56

Reorder the terms:
56 + -56 + -10y + y2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -10y + y2 = 0 + -56
-10y + y2 = 0 + -56

Combine like terms: 0 + -56 = -56
-10y + y2 = -56

The y term is -10y.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10y + 25 + y2 = -56 + 25

Reorder the terms:
25 + -10y + y2 = -56 + 25

Combine like terms: -56 + 25 = -31
25 + -10y + y2 = -31

Factor a perfect square on the left side:
(y + -5)(y + -5) = -31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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